ASVAB Math Knowledge Practice Test 731010 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

If a = c = 9, b = d = 2, what is the area of this rectangle?

80% Answer Correctly
10
18
6
56

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 9 x 2
a = 18


2

If angle a = 45° and angle b = 48° what is the length of angle c?

71% Answer Correctly
52°
117°
87°
97°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 48° = 87°


3

Solve for x:
x2 - 6x + 5 = 0

58% Answer Correctly
1 or 5
3 or -9
-4 or -9
8 or 7

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x2 - 6x + 5 = 0
(x - 1)(x - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x - 5) must equal zero:

If (x - 1) = 0, x must equal 1
If (x - 5) = 0, x must equal 5

So the solution is that x = 1 or 5


4

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and right

equilateral, isosceles and right

isosceles and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

supplementary, vertical

vertical, supplementary

acute, obtuse

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).